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Finding the Fourth Proportional to 11,770.53, 17,648.96 and 4,744.80

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Solution

The fourth proportional to 11,770.53, 17,648.96 and 4,744.80 is: 7,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.53 : 17,648.96 = 4,744.80 : x
  2. Step 2: Convert to fraction form
    11,770.53/17,648.96 = 4,744.80/x
  3. Step 3: Cross multiply
    11,770.53x = 17,648.96 × 4,744.80
  4. Step 4: Simplify right side
    11,770.53x = 83,740,785.41
  5. Step 5: Solve for x
    x = 83,740,785.41/11,770.53
  6. Step 6: Final answer
    x = 7,114.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.